TSTP Solution File: MGT032+2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : MGT032+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 06:10:37 EDT 2022
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : MGT032+2 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jul 22 11:17:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.37 GeoParameters:
% 0.13/0.37
% 0.13/0.37 tptp_input = 1
% 0.13/0.37 tptp_output = 0
% 0.13/0.37 nonempty = 1
% 0.13/0.37 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37
% 0.13/0.37 RuleSystem INPUT:
% 0.13/0.37
% 0.13/0.37 Initial Rules:
% 0.13/0.37 #0: input, references = 5, size of lhs = 5:
% 0.13/0.37 P_growth_rate-{F}(V1,V2,V3), P_growth_rate-{F}(V0,V2,V4), greater-{F}(V3,V4), environment-{F}(V5), subpopulations-{F}(V0,V1,V5,V2) | selection_favors-{T}(V1,V0,V2)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #1: input, references = 5, size of lhs = 4:
% 0.13/0.37 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), environment-{F}(V2), stable-{F}(V2) | EXISTS V3: pppp0-{T}(V2,V3,V0,V1)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #2: input, references = 5, size of lhs = 5:
% 0.13/0.37 pppp0-{F}(V0,V1,V2,V3), P_growth_rate-{F}(V3,V4,V5), P_growth_rate-{F}(V2,V4,V6), subpopulations-{F}(V2,V3,V0,V4), greater_or_equal-{F}(V4,V1) | greater-{T}(V5,V6)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #3: input, references = 5, size of lhs = 1:
% 0.13/0.37 pppp0-{F}(V0,V1,V2,V3) | in_environment-{T}(V0,V1)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #4: input, references = 5, size of lhs = 2:
% 0.13/0.37 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | EXISTS V2: pppp2-{T}(V2,V0,V1)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #5: input, references = 5, size of lhs = 2:
% 0.13/0.37 pppp2-{F}(V0,V1,V2), in_environment-{F}(V0,V3) | EXISTS V4: pppp1-{T}(V0,V4,V3,V1,V2)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #6: input, references = 5, size of lhs = 1:
% 0.13/0.37 pppp2-{F}(V0,V1,V2) | stable-{T}(V0)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #7: input, references = 5, size of lhs = 1:
% 0.13/0.37 pppp2-{F}(V0,V1,V2) | environment-{T}(V0)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #8: input, references = 5, size of lhs = 2:
% 0.13/0.37 pppp1-{F}(V0,V1,V2,V3,V4), selection_favors-{F}(V4,V3,V1) | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #9: input, references = 5, size of lhs = 1:
% 0.13/0.37 pppp1-{F}(V0,V1,V2,V3,V4) | greater_or_equal-{T}(V1,V2)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #10: input, references = 5, size of lhs = 1:
% 0.13/0.37 pppp1-{F}(V0,V1,V2,V3,V4) | subpopulations-{T}(V3,V4,V0,V1)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #11: input, references = 6, size of lhs = 2:
% 0.13/0.37 #-{F} V0, #-{F} V1 | EXISTS V2: P_growth_rate-{T}(V0,V1,V2)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #12: input, references = 4, size of lhs = 0:
% 0.13/0.37 FALSE | EXISTS V0: P_first_movers-{T}(V0)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #13: input, references = 4, size of lhs = 0:
% 0.13/0.37 FALSE | EXISTS V0: P_efficient_producers-{T}(V0)
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 number of initial rules = 14
% 0.13/0.37
% 0.13/0.37 Simplifiers:
% 0.13/0.37 #14: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V0,V1,V6,V7), V2 == V6 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #15: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V0 == V4 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #16: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 subpopulations-{F}(V0,V1,V2,V3), subpopulations-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #17: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 selection_favors-{F}(V0,V1,V2), selection_favors-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #18: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 selection_favors-{F}(V0,V1,V2), selection_favors-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #19: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 P_growth_rate-{F}(V0,V1,V2), P_growth_rate-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #20: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 P_first_movers-{F}(V0), P_first_movers-{F}(V1), V0 == V1 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #21: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 P_efficient_producers-{F}(V0), P_efficient_producers-{F}(V1), V0 == V1 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #22: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V0,V5,V2,V3), V1 == V5 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #23: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V2 == V6 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #24: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 pppp0-{F}(V0,V1,V2,V3), pppp0-{F}(V4,V5,V6,V7), V3 == V7 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #25: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V0,V6,V2,V3,V4), V1 == V6 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #26: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V5,V6,V7,V3,V4), V0 == V5 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #27: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V5,V6,V7,V8,V9), V3 == V8 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #28: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 pppp1-{F}(V0,V1,V2,V3,V4), pppp1-{F}(V5,V6,V7,V8,V9), V4 == V9 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #29: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V1,V2), V0 == V3 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #30: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #31: unsound, references = 3, size of lhs = 3:
% 0.13/0.37 pppp2-{F}(V0,V1,V2), pppp2-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 number of simplifiers = 18
% 0.13/0.37
% 0.13/0.37 Learnt:
% 0.13/0.37 #40: mergings( V3 == V5; #38 ), references = 1, size of lhs = 5:
% 0.13/0.37 environment-{F}(V0), greater_or_equal-{F}(V1,V2), pppp0-{F}(V0,V2,V3,V3), subpopulations-{F}(V3,V3,V0,V1), pppp1-{F}(V4,V1,V5,V3,V3) | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #44: exists( #5, #42 ), references = 1, size of lhs = 4:
% 0.13/0.37 environment-{F}(V0), in_environment-{F}(V0,V1), pppp2-{F}(V0,V2,V2), pppp0-{F}(V0,V1,V2,V2) | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #47: exists( #1, #45 ), references = 1, size of lhs = 5:
% 0.13/0.37 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0), stable-{F}(V1), environment-{F}(V1), pppp2-{F}(V1,V0,V0) | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #51: exists( #4, #49 ), references = 1, size of lhs = 2:
% 0.13/0.37 P_first_movers-{F}(V0), P_efficient_producers-{F}(V0) | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #57: mergings( V8 == V6, V3 == V5; #54 ), references = 1, size of lhs = 6:
% 0.13/0.37 environment-{F}(V0), greater_or_equal-{F}(V1,V2), pppp0-{F}(V0,V2,V3,V4), subpopulations-{F}(V3,V4,V0,V1), P_growth_rate-{F}(V4,V1,V5), pppp1-{F}(V6,V1,V7,V3,V4) | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #60: mergings( V3 == V6; #58 ), references = 1, size of lhs = 5:
% 0.13/0.37 environment-{F}(V0), greater_or_equal-{F}(V1,V2), pppp0-{F}(V0,V2,V3,V4), subpopulations-{F}(V3,V4,V0,V1), pppp1-{F}(V5,V1,V6,V3,V4) | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #64: exists( #5, #62 ), references = 1, size of lhs = 4:
% 0.13/0.37 environment-{F}(V0), in_environment-{F}(V0,V1), pppp2-{F}(V0,V2,V3), pppp0-{F}(V0,V1,V2,V3) | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #67: exists( #1, #65 ), references = 1, size of lhs = 5:
% 0.13/0.37 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1), stable-{F}(V2), environment-{F}(V2), pppp2-{F}(V2,V0,V1) | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #71: exists( #4, #69 ), references = 1, size of lhs = 2:
% 0.13/0.37 P_first_movers-{F}(V0), P_efficient_producers-{F}(V1) | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #73: exists( #13, #70 ), references = 1, size of lhs = 1:
% 0.13/0.37 P_first_movers-{F}(V0) | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 #75: exists( #12, #72 ), references = 1, size of lhs = 0:
% 0.13/0.37 FALSE | FALSE
% 0.13/0.37 (used 0 times, uses = {})
% 0.13/0.37
% 0.13/0.37 number of learnt formulas = 11
% 0.13/0.37
% 0.13/0.37
% 0.13/0.37 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37
% 0.13/0.37 randbase = 1
%------------------------------------------------------------------------------